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Finding the Third Proportional to 98,516 and 156,023

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Solution

The third proportional to 98,516 and 156,023 is: 247,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516 : 156,023 = 156,023 : x
  2. Step 2: Convert to fraction form
    98,516/156,023 = 156,023/x
  3. Step 3: Cross multiply
    98,516x = 156,023 × 156,023
  4. Step 4: Simplify right side
    98,516x = 24,343,176,529
  5. Step 5: Solve for x
    x = 24,343,176,529/98,516
  6. Step 6: Final answer
    x = 247,098.71

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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.