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Finding the Third Proportional to 63,604 and 93,464

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Solution

The third proportional to 63,604 and 93,464 is: 137,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,604 : 93,464 = 93,464 : x
  2. Step 2: Convert to fraction form
    63,604/93,464 = 93,464/x
  3. Step 3: Cross multiply
    63,604x = 93,464 × 93,464
  4. Step 4: Simplify right side
    63,604x = 8,735,519,296
  5. Step 5: Solve for x
    x = 8,735,519,296/63,604
  6. Step 6: Final answer
    x = 137,342.29

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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.