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Finding the Third Proportional to 44,776 and 93,853

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Solution

The third proportional to 44,776 and 93,853 is: 196,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,776 : 93,853 = 93,853 : x
  2. Step 2: Convert to fraction form
    44,776/93,853 = 93,853/x
  3. Step 3: Cross multiply
    44,776x = 93,853 × 93,853
  4. Step 4: Simplify right side
    44,776x = 8,808,385,609
  5. Step 5: Solve for x
    x = 8,808,385,609/44,776
  6. Step 6: Final answer
    x = 196,721.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.