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Finding the Third Proportional to 63,370 and 98,111

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Solution

The third proportional to 63,370 and 98,111 is: 151,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,370 : 98,111 = 98,111 : x
  2. Step 2: Convert to fraction form
    63,370/98,111 = 98,111/x
  3. Step 3: Cross multiply
    63,370x = 98,111 × 98,111
  4. Step 4: Simplify right side
    63,370x = 9,625,768,321
  5. Step 5: Solve for x
    x = 9,625,768,321/63,370
  6. Step 6: Final answer
    x = 151,897.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.