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Finding the Third Proportional to 98,527 and 152,873

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Solution

The third proportional to 98,527 and 152,873 is: 237,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,527 : 152,873 = 152,873 : x
  2. Step 2: Convert to fraction form
    98,527/152,873 = 152,873/x
  3. Step 3: Cross multiply
    98,527x = 152,873 × 152,873
  4. Step 4: Simplify right side
    98,527x = 23,370,154,129
  5. Step 5: Solve for x
    x = 23,370,154,129/98,527
  6. Step 6: Final answer
    x = 237,195.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.