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Finding the Third Proportional to 63,526.50 and 135,489

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Solution

The third proportional to 63,526.50 and 135,489 is: 288,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,526.50 : 135,489 = 135,489 : x
  2. Step 2: Convert to fraction form
    63,526.50/135,489 = 135,489/x
  3. Step 3: Cross multiply
    63,526.50x = 135,489 × 135,489
  4. Step 4: Simplify right side
    63,526.50x = 18,357,269,121
  5. Step 5: Solve for x
    x = 18,357,269,121/63,526.50
  6. Step 6: Final answer
    x = 288,970.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.