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Finding the Third Proportional to 63,547 and 135,538

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Solution

The third proportional to 63,547 and 135,538 is: 289,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,547 : 135,538 = 135,538 : x
  2. Step 2: Convert to fraction form
    63,547/135,538 = 135,538/x
  3. Step 3: Cross multiply
    63,547x = 135,538 × 135,538
  4. Step 4: Simplify right side
    63,547x = 18,370,549,444
  5. Step 5: Solve for x
    x = 18,370,549,444/63,547
  6. Step 6: Final answer
    x = 289,086.02

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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.