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Finding the Third Proportional to 66,584 and 98,877

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Solution

The third proportional to 66,584 and 98,877 is: 146,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,584 : 98,877 = 98,877 : x
  2. Step 2: Convert to fraction form
    66,584/98,877 = 98,877/x
  3. Step 3: Cross multiply
    66,584x = 98,877 × 98,877
  4. Step 4: Simplify right side
    66,584x = 9,776,661,129
  5. Step 5: Solve for x
    x = 9,776,661,129/66,584
  6. Step 6: Final answer
    x = 146,831.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.