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Finding the Third Proportional to 124,254 and 197,613

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Solution

The third proportional to 124,254 and 197,613 is: 314,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,254 : 197,613 = 197,613 : x
  2. Step 2: Convert to fraction form
    124,254/197,613 = 197,613/x
  3. Step 3: Cross multiply
    124,254x = 197,613 × 197,613
  4. Step 4: Simplify right side
    124,254x = 39,050,897,769
  5. Step 5: Solve for x
    x = 39,050,897,769/124,254
  6. Step 6: Final answer
    x = 314,282.82

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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.