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Finding the Third Proportional to 60,158 and 93,518

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Solution

The third proportional to 60,158 and 93,518 is: 145,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,158 : 93,518 = 93,518 : x
  2. Step 2: Convert to fraction form
    60,158/93,518 = 93,518/x
  3. Step 3: Cross multiply
    60,158x = 93,518 × 93,518
  4. Step 4: Simplify right side
    60,158x = 8,745,616,324
  5. Step 5: Solve for x
    x = 8,745,616,324/60,158
  6. Step 6: Final answer
    x = 145,377.44

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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.