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Finding the Third Proportional to 69,748 and 152,132

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Solution

The third proportional to 69,748 and 152,132 is: 331,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,748 : 152,132 = 152,132 : x
  2. Step 2: Convert to fraction form
    69,748/152,132 = 152,132/x
  3. Step 3: Cross multiply
    69,748x = 152,132 × 152,132
  4. Step 4: Simplify right side
    69,748x = 23,144,145,424
  5. Step 5: Solve for x
    x = 23,144,145,424/69,748
  6. Step 6: Final answer
    x = 331,825.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.