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Finding the Third Proportional to 98,413 and 156,669

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Solution

The third proportional to 98,413 and 156,669 is: 249,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413 : 156,669 = 156,669 : x
  2. Step 2: Convert to fraction form
    98,413/156,669 = 156,669/x
  3. Step 3: Cross multiply
    98,413x = 156,669 × 156,669
  4. Step 4: Simplify right side
    98,413x = 24,545,175,561
  5. Step 5: Solve for x
    x = 24,545,175,561/98,413
  6. Step 6: Final answer
    x = 249,409.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.