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Finding the Third Proportional to 91,670 and 145,864

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Solution

The third proportional to 91,670 and 145,864 is: 232,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,670 : 145,864 = 145,864 : x
  2. Step 2: Convert to fraction form
    91,670/145,864 = 145,864/x
  3. Step 3: Cross multiply
    91,670x = 145,864 × 145,864
  4. Step 4: Simplify right side
    91,670x = 21,276,306,496
  5. Step 5: Solve for x
    x = 21,276,306,496/91,670
  6. Step 6: Final answer
    x = 232,096.72

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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.