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Finding the Third Proportional to 65,937 and 97,672.50

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Solution

The third proportional to 65,937 and 97,672.50 is: 144,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,937 : 97,672.50 = 97,672.50 : x
  2. Step 2: Convert to fraction form
    65,937/97,672.50 = 97,672.50/x
  3. Step 3: Cross multiply
    65,937x = 97,672.50 × 97,672.50
  4. Step 4: Simplify right side
    65,937x = 9,539,917,256.25
  5. Step 5: Solve for x
    x = 9,539,917,256.25/65,937
  6. Step 6: Final answer
    x = 144,682.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.