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Finding the Third Proportional to 60,184 and 93,560

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Solution

The third proportional to 60,184 and 93,560 is: 145,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,184 : 93,560 = 93,560 : x
  2. Step 2: Convert to fraction form
    60,184/93,560 = 93,560/x
  3. Step 3: Cross multiply
    60,184x = 93,560 × 93,560
  4. Step 4: Simplify right side
    60,184x = 8,753,473,600
  5. Step 5: Solve for x
    x = 8,753,473,600/60,184
  6. Step 6: Final answer
    x = 145,445.19

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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.