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Finding the Third Proportional to 97,589.84 and 145,572.43

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Solution

The third proportional to 97,589.84 and 145,572.43 is: 217,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,589.84 : 145,572.43 = 145,572.43 : x
  2. Step 2: Convert to fraction form
    97,589.84/145,572.43 = 145,572.43/x
  3. Step 3: Cross multiply
    97,589.84x = 145,572.43 × 145,572.43
  4. Step 4: Simplify right side
    97,589.84x = 21,191,333,422.41
  5. Step 5: Solve for x
    x = 21,191,333,422.41/97,589.84
  6. Step 6: Final answer
    x = 217,146.93

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Why These Related Problems?

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