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Finding the Third Proportional to 55,076 and 87,535

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Solution

The third proportional to 55,076 and 87,535 is: 139,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,076 : 87,535 = 87,535 : x
  2. Step 2: Convert to fraction form
    55,076/87,535 = 87,535/x
  3. Step 3: Cross multiply
    55,076x = 87,535 × 87,535
  4. Step 4: Simplify right side
    55,076x = 7,662,376,225
  5. Step 5: Solve for x
    x = 7,662,376,225/55,076
  6. Step 6: Final answer
    x = 139,123.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.