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Finding the Third Proportional to 42,257 and 88,584

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Solution

The third proportional to 42,257 and 88,584 is: 185,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,257 : 88,584 = 88,584 : x
  2. Step 2: Convert to fraction form
    42,257/88,584 = 88,584/x
  3. Step 3: Cross multiply
    42,257x = 88,584 × 88,584
  4. Step 4: Simplify right side
    42,257x = 7,847,125,056
  5. Step 5: Solve for x
    x = 7,847,125,056/42,257
  6. Step 6: Final answer
    x = 185,700.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.