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Finding the Third Proportional to 40,261 and 88,488

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Solution

The third proportional to 40,261 and 88,488 is: 194,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,261 : 88,488 = 88,488 : x
  2. Step 2: Convert to fraction form
    40,261/88,488 = 88,488/x
  3. Step 3: Cross multiply
    40,261x = 88,488 × 88,488
  4. Step 4: Simplify right side
    40,261x = 7,830,126,144
  5. Step 5: Solve for x
    x = 7,830,126,144/40,261
  6. Step 6: Final answer
    x = 194,484.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.