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Finding the Third Proportional to 96,336 and 151,320

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Solution

The third proportional to 96,336 and 151,320 is: 237,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,336 : 151,320 = 151,320 : x
  2. Step 2: Convert to fraction form
    96,336/151,320 = 151,320/x
  3. Step 3: Cross multiply
    96,336x = 151,320 × 151,320
  4. Step 4: Simplify right side
    96,336x = 22,897,742,400
  5. Step 5: Solve for x
    x = 22,897,742,400/96,336
  6. Step 6: Final answer
    x = 237,686.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.