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Finding the Third Proportional to 99,596 and 157,780

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Solution

The third proportional to 99,596 and 157,780 is: 249,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,596 : 157,780 = 157,780 : x
  2. Step 2: Convert to fraction form
    99,596/157,780 = 157,780/x
  3. Step 3: Cross multiply
    99,596x = 157,780 × 157,780
  4. Step 4: Simplify right side
    99,596x = 24,894,528,400
  5. Step 5: Solve for x
    x = 24,894,528,400/99,596
  6. Step 6: Final answer
    x = 249,955.10

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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.