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Finding the Third Proportional to 108,742.50 and 153,130.50

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Solution

The third proportional to 108,742.50 and 153,130.50 is: 215,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,742.50 : 153,130.50 = 153,130.50 : x
  2. Step 2: Convert to fraction form
    108,742.50/153,130.50 = 153,130.50/x
  3. Step 3: Cross multiply
    108,742.50x = 153,130.50 × 153,130.50
  4. Step 4: Simplify right side
    108,742.50x = 23,448,950,030.25
  5. Step 5: Solve for x
    x = 23,448,950,030.25/108,742.50
  6. Step 6: Final answer
    x = 215,637.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.