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Finding the Third Proportional to 58,124 and 89,814

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Solution

The third proportional to 58,124 and 89,814 is: 138,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,124 : 89,814 = 89,814 : x
  2. Step 2: Convert to fraction form
    58,124/89,814 = 89,814/x
  3. Step 3: Cross multiply
    58,124x = 89,814 × 89,814
  4. Step 4: Simplify right side
    58,124x = 8,066,554,596
  5. Step 5: Solve for x
    x = 8,066,554,596/58,124
  6. Step 6: Final answer
    x = 138,781.82

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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.