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Finding the Third Proportional to 59,597 and 88,365

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Solution

The third proportional to 59,597 and 88,365 is: 131,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,597 : 88,365 = 88,365 : x
  2. Step 2: Convert to fraction form
    59,597/88,365 = 88,365/x
  3. Step 3: Cross multiply
    59,597x = 88,365 × 88,365
  4. Step 4: Simplify right side
    59,597x = 7,808,373,225
  5. Step 5: Solve for x
    x = 7,808,373,225/59,597
  6. Step 6: Final answer
    x = 131,019.57

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.