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Finding the Third Proportional to 57,386.25 and 88,641

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Solution

The third proportional to 57,386.25 and 88,641 is: 136,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,386.25 : 88,641 = 88,641 : x
  2. Step 2: Convert to fraction form
    57,386.25/88,641 = 88,641/x
  3. Step 3: Cross multiply
    57,386.25x = 88,641 × 88,641
  4. Step 4: Simplify right side
    57,386.25x = 7,857,226,881
  5. Step 5: Solve for x
    x = 7,857,226,881/57,386.25
  6. Step 6: Final answer
    x = 136,918.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.