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Finding the Third Proportional to 99,582 and 157,758

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Solution

The third proportional to 99,582 and 157,758 is: 249,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,582 : 157,758 = 157,758 : x
  2. Step 2: Convert to fraction form
    99,582/157,758 = 157,758/x
  3. Step 3: Cross multiply
    99,582x = 157,758 × 157,758
  4. Step 4: Simplify right side
    99,582x = 24,887,586,564
  5. Step 5: Solve for x
    x = 24,887,586,564/99,582
  6. Step 6: Final answer
    x = 249,920.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.