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Finding the Third Proportional to 72,413 and 107,490.50

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Solution

The third proportional to 72,413 and 107,490.50 is: 159,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413 : 107,490.50 = 107,490.50 : x
  2. Step 2: Convert to fraction form
    72,413/107,490.50 = 107,490.50/x
  3. Step 3: Cross multiply
    72,413x = 107,490.50 × 107,490.50
  4. Step 4: Simplify right side
    72,413x = 11,554,207,590.25
  5. Step 5: Solve for x
    x = 11,554,207,590.25/72,413
  6. Step 6: Final answer
    x = 159,559.85

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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.