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Finding the Third Proportional to 57,334 and 88,557

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Solution

The third proportional to 57,334 and 88,557 is: 136,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,334 : 88,557 = 88,557 : x
  2. Step 2: Convert to fraction form
    57,334/88,557 = 88,557/x
  3. Step 3: Cross multiply
    57,334x = 88,557 × 88,557
  4. Step 4: Simplify right side
    57,334x = 7,842,342,249
  5. Step 5: Solve for x
    x = 7,842,342,249/57,334
  6. Step 6: Final answer
    x = 136,783.45

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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.