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Finding the Third Proportional to 58,278 and 89,113

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Solution

The third proportional to 58,278 and 89,113 is: 136,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,278 : 89,113 = 89,113 : x
  2. Step 2: Convert to fraction form
    58,278/89,113 = 89,113/x
  3. Step 3: Cross multiply
    58,278x = 89,113 × 89,113
  4. Step 4: Simplify right side
    58,278x = 7,941,126,769
  5. Step 5: Solve for x
    x = 7,941,126,769/58,278
  6. Step 6: Final answer
    x = 136,262.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.