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Finding the Third Proportional to 98,584 and 151,532

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Solution

The third proportional to 98,584 and 151,532 is: 232,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,584 : 151,532 = 151,532 : x
  2. Step 2: Convert to fraction form
    98,584/151,532 = 151,532/x
  3. Step 3: Cross multiply
    98,584x = 151,532 × 151,532
  4. Step 4: Simplify right side
    98,584x = 22,961,947,024
  5. Step 5: Solve for x
    x = 22,961,947,024/98,584
  6. Step 6: Final answer
    x = 232,917.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.