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Finding the Third Proportional to 58,262 and 89,091

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Solution

The third proportional to 58,262 and 89,091 is: 136,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,262 : 89,091 = 89,091 : x
  2. Step 2: Convert to fraction form
    58,262/89,091 = 89,091/x
  3. Step 3: Cross multiply
    58,262x = 89,091 × 89,091
  4. Step 4: Simplify right side
    58,262x = 7,937,206,281
  5. Step 5: Solve for x
    x = 7,937,206,281/58,262
  6. Step 6: Final answer
    x = 136,232.99

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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.