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Finding the Third Proportional to 63,530 and 93,535

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Solution

The third proportional to 63,530 and 93,535 is: 137,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,530 : 93,535 = 93,535 : x
  2. Step 2: Convert to fraction form
    63,530/93,535 = 93,535/x
  3. Step 3: Cross multiply
    63,530x = 93,535 × 93,535
  4. Step 4: Simplify right side
    63,530x = 8,748,796,225
  5. Step 5: Solve for x
    x = 8,748,796,225/63,530
  6. Step 6: Final answer
    x = 137,711.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.