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Finding the Third Proportional to 100,564.50 and 149,106.50

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Solution

The third proportional to 100,564.50 and 149,106.50 is: 221,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.50 : 149,106.50 = 149,106.50 : x
  2. Step 2: Convert to fraction form
    100,564.50/149,106.50 = 149,106.50/x
  3. Step 3: Cross multiply
    100,564.50x = 149,106.50 × 149,106.50
  4. Step 4: Simplify right side
    100,564.50x = 22,232,748,342.25
  5. Step 5: Solve for x
    x = 22,232,748,342.25/100,564.50
  6. Step 6: Final answer
    x = 221,079.49

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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.