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Finding the Third Proportional to 58,123.51 and 89,778.06

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Solution

The third proportional to 58,123.51 and 89,778.06 is: 138,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,123.51 : 89,778.06 = 89,778.06 : x
  2. Step 2: Convert to fraction form
    58,123.51/89,778.06 = 89,778.06/x
  3. Step 3: Cross multiply
    58,123.51x = 89,778.06 × 89,778.06
  4. Step 4: Simplify right side
    58,123.51x = 8,060,099,804.86
  5. Step 5: Solve for x
    x = 8,060,099,804.86/58,123.51
  6. Step 6: Final answer
    x = 138,671.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.