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Finding the Third Proportional to 61,376 and 94,776

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Solution

The third proportional to 61,376 and 94,776 is: 146,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,376 : 94,776 = 94,776 : x
  2. Step 2: Convert to fraction form
    61,376/94,776 = 94,776/x
  3. Step 3: Cross multiply
    61,376x = 94,776 × 94,776
  4. Step 4: Simplify right side
    61,376x = 8,982,490,176
  5. Step 5: Solve for x
    x = 8,982,490,176/61,376
  6. Step 6: Final answer
    x = 146,351.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.