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Finding the Third Proportional to 96,528 and 153,600

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Solution

The third proportional to 96,528 and 153,600 is: 244,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,528 : 153,600 = 153,600 : x
  2. Step 2: Convert to fraction form
    96,528/153,600 = 153,600/x
  3. Step 3: Cross multiply
    96,528x = 153,600 × 153,600
  4. Step 4: Simplify right side
    96,528x = 23,592,960,000
  5. Step 5: Solve for x
    x = 23,592,960,000/96,528
  6. Step 6: Final answer
    x = 244,415.71

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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.