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Finding the Third Proportional to 59,283 and 128,407.50

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Solution

The third proportional to 59,283 and 128,407.50 is: 278,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,283 : 128,407.50 = 128,407.50 : x
  2. Step 2: Convert to fraction form
    59,283/128,407.50 = 128,407.50/x
  3. Step 3: Cross multiply
    59,283x = 128,407.50 × 128,407.50
  4. Step 4: Simplify right side
    59,283x = 16,488,486,056.25
  5. Step 5: Solve for x
    x = 16,488,486,056.25/59,283
  6. Step 6: Final answer
    x = 278,131.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.