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Finding the Third Proportional to 58,386 and 89,037

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Solution

The third proportional to 58,386 and 89,037 is: 135,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,386 : 89,037 = 89,037 : x
  2. Step 2: Convert to fraction form
    58,386/89,037 = 89,037/x
  3. Step 3: Cross multiply
    58,386x = 89,037 × 89,037
  4. Step 4: Simplify right side
    58,386x = 7,927,587,369
  5. Step 5: Solve for x
    x = 7,927,587,369/58,386
  6. Step 6: Final answer
    x = 135,778.91

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Why These Related Problems?

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