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Finding the Third Proportional to 57,537 and 89,295.75

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Solution

The third proportional to 57,537 and 89,295.75 is: 138,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537 : 89,295.75 = 89,295.75 : x
  2. Step 2: Convert to fraction form
    57,537/89,295.75 = 89,295.75/x
  3. Step 3: Cross multiply
    57,537x = 89,295.75 × 89,295.75
  4. Step 4: Simplify right side
    57,537x = 7,973,730,968.06
  5. Step 5: Solve for x
    x = 7,973,730,968.06/57,537
  6. Step 6: Final answer
    x = 138,584.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.