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Finding the Third Proportional to 97,960 and 145,499

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Solution

The third proportional to 97,960 and 145,499 is: 216,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,960 : 145,499 = 145,499 : x
  2. Step 2: Convert to fraction form
    97,960/145,499 = 145,499/x
  3. Step 3: Cross multiply
    97,960x = 145,499 × 145,499
  4. Step 4: Simplify right side
    97,960x = 21,169,959,001
  5. Step 5: Solve for x
    x = 21,169,959,001/97,960
  6. Step 6: Final answer
    x = 216,108.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.