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Finding the Third Proportional to 58,320 and 86,249.81

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Solution

The third proportional to 58,320 and 86,249.81 is: 127,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,320 : 86,249.81 = 86,249.81 : x
  2. Step 2: Convert to fraction form
    58,320/86,249.81 = 86,249.81/x
  3. Step 3: Cross multiply
    58,320x = 86,249.81 × 86,249.81
  4. Step 4: Simplify right side
    58,320x = 7,439,030,156.29
  5. Step 5: Solve for x
    x = 7,439,030,156.29/58,320
  6. Step 6: Final answer
    x = 127,555.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.