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Finding the Third Proportional to 58,776 and 89,540.25

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Solution

The third proportional to 58,776 and 89,540.25 is: 136,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,776 : 89,540.25 = 89,540.25 : x
  2. Step 2: Convert to fraction form
    58,776/89,540.25 = 89,540.25/x
  3. Step 3: Cross multiply
    58,776x = 89,540.25 × 89,540.25
  4. Step 4: Simplify right side
    58,776x = 8,017,456,370.06
  5. Step 5: Solve for x
    x = 8,017,456,370.06/58,776
  6. Step 6: Final answer
    x = 136,406.98

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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.