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Finding the Third Proportional to 116,658 and 172,527

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Solution

The third proportional to 116,658 and 172,527 is: 255,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658 : 172,527 = 172,527 : x
  2. Step 2: Convert to fraction form
    116,658/172,527 = 172,527/x
  3. Step 3: Cross multiply
    116,658x = 172,527 × 172,527
  4. Step 4: Simplify right side
    116,658x = 29,765,565,729
  5. Step 5: Solve for x
    x = 29,765,565,729/116,658
  6. Step 6: Final answer
    x = 255,152.37

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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.