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Finding the Third Proportional to 59,989.50 and 85,729.50

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Solution

The third proportional to 59,989.50 and 85,729.50 is: 122,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,989.50 : 85,729.50 = 85,729.50 : x
  2. Step 2: Convert to fraction form
    59,989.50/85,729.50 = 85,729.50/x
  3. Step 3: Cross multiply
    59,989.50x = 85,729.50 × 85,729.50
  4. Step 4: Simplify right side
    59,989.50x = 7,349,547,170.25
  5. Step 5: Solve for x
    x = 7,349,547,170.25/59,989.50
  6. Step 6: Final answer
    x = 122,513.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.