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Finding the Third Proportional to 58,394 and 90,314

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Solution

The third proportional to 58,394 and 90,314 is: 139,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,394 : 90,314 = 90,314 : x
  2. Step 2: Convert to fraction form
    58,394/90,314 = 90,314/x
  3. Step 3: Cross multiply
    58,394x = 90,314 × 90,314
  4. Step 4: Simplify right side
    58,394x = 8,156,618,596
  5. Step 5: Solve for x
    x = 8,156,618,596/58,394
  6. Step 6: Final answer
    x = 139,682.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.