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Finding the Third Proportional to 77,712 and 116,087

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Solution

The third proportional to 77,712 and 116,087 is: 173,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 116,087 = 116,087 : x
  2. Step 2: Convert to fraction form
    77,712/116,087 = 116,087/x
  3. Step 3: Cross multiply
    77,712x = 116,087 × 116,087
  4. Step 4: Simplify right side
    77,712x = 13,476,191,569
  5. Step 5: Solve for x
    x = 13,476,191,569/77,712
  6. Step 6: Final answer
    x = 173,411.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.