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Finding the Third Proportional to 97,584.75 and 145,557

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Solution

The third proportional to 97,584.75 and 145,557 is: 217,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,584.75 : 145,557 = 145,557 : x
  2. Step 2: Convert to fraction form
    97,584.75/145,557 = 145,557/x
  3. Step 3: Cross multiply
    97,584.75x = 145,557 × 145,557
  4. Step 4: Simplify right side
    97,584.75x = 21,186,840,249
  5. Step 5: Solve for x
    x = 21,186,840,249/97,584.75
  6. Step 6: Final answer
    x = 217,112.21

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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.