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Finding the Third Proportional to 58,707 and 89,184

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Solution

The third proportional to 58,707 and 89,184 is: 135,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,707 : 89,184 = 89,184 : x
  2. Step 2: Convert to fraction form
    58,707/89,184 = 89,184/x
  3. Step 3: Cross multiply
    58,707x = 89,184 × 89,184
  4. Step 4: Simplify right side
    58,707x = 7,953,785,856
  5. Step 5: Solve for x
    x = 7,953,785,856/58,707
  6. Step 6: Final answer
    x = 135,482.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.