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Finding the Third Proportional to 58,407 and 127,870.50

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Solution

The third proportional to 58,407 and 127,870.50 is: 279,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,407 : 127,870.50 = 127,870.50 : x
  2. Step 2: Convert to fraction form
    58,407/127,870.50 = 127,870.50/x
  3. Step 3: Cross multiply
    58,407x = 127,870.50 × 127,870.50
  4. Step 4: Simplify right side
    58,407x = 16,350,864,770.25
  5. Step 5: Solve for x
    x = 16,350,864,770.25/58,407
  6. Step 6: Final answer
    x = 279,947.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.