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Finding the Third Proportional to 59,475 and 124,788

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Solution

The third proportional to 59,475 and 124,788 is: 261,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,475 : 124,788 = 124,788 : x
  2. Step 2: Convert to fraction form
    59,475/124,788 = 124,788/x
  3. Step 3: Cross multiply
    59,475x = 124,788 × 124,788
  4. Step 4: Simplify right side
    59,475x = 15,572,044,944
  5. Step 5: Solve for x
    x = 15,572,044,944/59,475
  6. Step 6: Final answer
    x = 261,825.05

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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.