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Finding the Third Proportional to 59,262.75 and 90,046

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Solution

The third proportional to 59,262.75 and 90,046 is: 136,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,262.75 : 90,046 = 90,046 : x
  2. Step 2: Convert to fraction form
    59,262.75/90,046 = 90,046/x
  3. Step 3: Cross multiply
    59,262.75x = 90,046 × 90,046
  4. Step 4: Simplify right side
    59,262.75x = 8,108,282,116
  5. Step 5: Solve for x
    x = 8,108,282,116/59,262.75
  6. Step 6: Final answer
    x = 136,819.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.