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Finding the Third Proportional to 58,065 and 89,716.50

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Solution

The third proportional to 58,065 and 89,716.50 is: 138,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,065 : 89,716.50 = 89,716.50 : x
  2. Step 2: Convert to fraction form
    58,065/89,716.50 = 89,716.50/x
  3. Step 3: Cross multiply
    58,065x = 89,716.50 × 89,716.50
  4. Step 4: Simplify right side
    58,065x = 8,049,050,372.25
  5. Step 5: Solve for x
    x = 8,049,050,372.25/58,065
  6. Step 6: Final answer
    x = 138,621.38

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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.