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Finding the Third Proportional to 59,523 and 90,053

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Solution

The third proportional to 59,523 and 90,053 is: 136,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,523 : 90,053 = 90,053 : x
  2. Step 2: Convert to fraction form
    59,523/90,053 = 90,053/x
  3. Step 3: Cross multiply
    59,523x = 90,053 × 90,053
  4. Step 4: Simplify right side
    59,523x = 8,109,542,809
  5. Step 5: Solve for x
    x = 8,109,542,809/59,523
  6. Step 6: Final answer
    x = 136,242.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.