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Finding the Third Proportional to 63,604 and 93,460

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Solution

The third proportional to 63,604 and 93,460 is: 137,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,604 : 93,460 = 93,460 : x
  2. Step 2: Convert to fraction form
    63,604/93,460 = 93,460/x
  3. Step 3: Cross multiply
    63,604x = 93,460 × 93,460
  4. Step 4: Simplify right side
    63,604x = 8,734,771,600
  5. Step 5: Solve for x
    x = 8,734,771,600/63,604
  6. Step 6: Final answer
    x = 137,330.54

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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.