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Finding the Third Proportional to 61,307 and 94,737

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Solution

The third proportional to 61,307 and 94,737 is: 146,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307 : 94,737 = 94,737 : x
  2. Step 2: Convert to fraction form
    61,307/94,737 = 94,737/x
  3. Step 3: Cross multiply
    61,307x = 94,737 × 94,737
  4. Step 4: Simplify right side
    61,307x = 8,975,099,169
  5. Step 5: Solve for x
    x = 8,975,099,169/61,307
  6. Step 6: Final answer
    x = 146,395.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.