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Finding the Third Proportional to 91,680 and 145,881

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Solution

The third proportional to 91,680 and 145,881 is: 232,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,680 : 145,881 = 145,881 : x
  2. Step 2: Convert to fraction form
    91,680/145,881 = 145,881/x
  3. Step 3: Cross multiply
    91,680x = 145,881 × 145,881
  4. Step 4: Simplify right side
    91,680x = 21,281,266,161
  5. Step 5: Solve for x
    x = 21,281,266,161/91,680
  6. Step 6: Final answer
    x = 232,125.50

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Why These Related Problems?

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