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Finding the Third Proportional to 98,583 and 147,708

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Solution

The third proportional to 98,583 and 147,708 is: 221,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,583 : 147,708 = 147,708 : x
  2. Step 2: Convert to fraction form
    98,583/147,708 = 147,708/x
  3. Step 3: Cross multiply
    98,583x = 147,708 × 147,708
  4. Step 4: Simplify right side
    98,583x = 21,817,653,264
  5. Step 5: Solve for x
    x = 21,817,653,264/98,583
  6. Step 6: Final answer
    x = 221,312.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.