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Finding the Third Proportional to 98,291 and 148,251

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Solution

The third proportional to 98,291 and 148,251 is: 223,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,291 : 148,251 = 148,251 : x
  2. Step 2: Convert to fraction form
    98,291/148,251 = 148,251/x
  3. Step 3: Cross multiply
    98,291x = 148,251 × 148,251
  4. Step 4: Simplify right side
    98,291x = 21,978,359,001
  5. Step 5: Solve for x
    x = 21,978,359,001/98,291
  6. Step 6: Final answer
    x = 223,605.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.