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Finding the Third Proportional to 37,721 and 88,430

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Solution

The third proportional to 37,721 and 88,430 is: 207,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721 : 88,430 = 88,430 : x
  2. Step 2: Convert to fraction form
    37,721/88,430 = 88,430/x
  3. Step 3: Cross multiply
    37,721x = 88,430 × 88,430
  4. Step 4: Simplify right side
    37,721x = 7,819,864,900
  5. Step 5: Solve for x
    x = 7,819,864,900/37,721
  6. Step 6: Final answer
    x = 207,308.00

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.