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Finding the Third Proportional to 59,323 and 88,985

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Solution

The third proportional to 59,323 and 88,985 is: 133,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,323 : 88,985 = 88,985 : x
  2. Step 2: Convert to fraction form
    59,323/88,985 = 88,985/x
  3. Step 3: Cross multiply
    59,323x = 88,985 × 88,985
  4. Step 4: Simplify right side
    59,323x = 7,918,330,225
  5. Step 5: Solve for x
    x = 7,918,330,225/59,323
  6. Step 6: Final answer
    x = 133,478.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.