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Finding the Third Proportional to 76,332 and 112,290

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Solution

The third proportional to 76,332 and 112,290 is: 165,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,332 : 112,290 = 112,290 : x
  2. Step 2: Convert to fraction form
    76,332/112,290 = 112,290/x
  3. Step 3: Cross multiply
    76,332x = 112,290 × 112,290
  4. Step 4: Simplify right side
    76,332x = 12,609,044,100
  5. Step 5: Solve for x
    x = 12,609,044,100/76,332
  6. Step 6: Final answer
    x = 165,186.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.