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Finding the Third Proportional to 59,298.50 and 91,718.50

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Solution

The third proportional to 59,298.50 and 91,718.50 is: 141,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,298.50 : 91,718.50 = 91,718.50 : x
  2. Step 2: Convert to fraction form
    59,298.50/91,718.50 = 91,718.50/x
  3. Step 3: Cross multiply
    59,298.50x = 91,718.50 × 91,718.50
  4. Step 4: Simplify right side
    59,298.50x = 8,412,283,242.25
  5. Step 5: Solve for x
    x = 8,412,283,242.25/59,298.50
  6. Step 6: Final answer
    x = 141,863.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.