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Finding the Third Proportional to 63,601 and 93,457

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Solution

The third proportional to 63,601 and 93,457 is: 137,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,601 : 93,457 = 93,457 : x
  2. Step 2: Convert to fraction form
    63,601/93,457 = 93,457/x
  3. Step 3: Cross multiply
    63,601x = 93,457 × 93,457
  4. Step 4: Simplify right side
    63,601x = 8,734,210,849
  5. Step 5: Solve for x
    x = 8,734,210,849/63,601
  6. Step 6: Final answer
    x = 137,328.20

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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.