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Finding the Third Proportional to 99,574 and 157,746

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Solution

The third proportional to 99,574 and 157,746 is: 249,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,574 : 157,746 = 157,746 : x
  2. Step 2: Convert to fraction form
    99,574/157,746 = 157,746/x
  3. Step 3: Cross multiply
    99,574x = 157,746 × 157,746
  4. Step 4: Simplify right side
    99,574x = 24,883,800,516
  5. Step 5: Solve for x
    x = 24,883,800,516/99,574
  6. Step 6: Final answer
    x = 249,902.59

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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.