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Finding the Third Proportional to 59,877 and 94,918.50

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Solution

The third proportional to 59,877 and 94,918.50 is: 150,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,877 : 94,918.50 = 94,918.50 : x
  2. Step 2: Convert to fraction form
    59,877/94,918.50 = 94,918.50/x
  3. Step 3: Cross multiply
    59,877x = 94,918.50 × 94,918.50
  4. Step 4: Simplify right side
    59,877x = 9,009,521,642.25
  5. Step 5: Solve for x
    x = 9,009,521,642.25/59,877
  6. Step 6: Final answer
    x = 150,467.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.