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Finding the Third Proportional to 59,022 and 90,254.25

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Solution

The third proportional to 59,022 and 90,254.25 is: 138,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022 : 90,254.25 = 90,254.25 : x
  2. Step 2: Convert to fraction form
    59,022/90,254.25 = 90,254.25/x
  3. Step 3: Cross multiply
    59,022x = 90,254.25 × 90,254.25
  4. Step 4: Simplify right side
    59,022x = 8,145,829,643.06
  5. Step 5: Solve for x
    x = 8,145,829,643.06/59,022
  6. Step 6: Final answer
    x = 138,013.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.