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Finding the Third Proportional to 60,707 and 92,154

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Solution

The third proportional to 60,707 and 92,154 is: 139,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,707 : 92,154 = 92,154 : x
  2. Step 2: Convert to fraction form
    60,707/92,154 = 92,154/x
  3. Step 3: Cross multiply
    60,707x = 92,154 × 92,154
  4. Step 4: Simplify right side
    60,707x = 8,492,359,716
  5. Step 5: Solve for x
    x = 8,492,359,716/60,707
  6. Step 6: Final answer
    x = 139,890.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.