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Finding the Third Proportional to 42,525 and 59,490

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Solution

The third proportional to 42,525 and 59,490 is: 83,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,525 : 59,490 = 59,490 : x
  2. Step 2: Convert to fraction form
    42,525/59,490 = 59,490/x
  3. Step 3: Cross multiply
    42,525x = 59,490 × 59,490
  4. Step 4: Simplify right side
    42,525x = 3,539,060,100
  5. Step 5: Solve for x
    x = 3,539,060,100/42,525
  6. Step 6: Final answer
    x = 83,223.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.