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Finding the Third Proportional to 59,242.50 and 128,070

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Solution

The third proportional to 59,242.50 and 128,070 is: 276,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,242.50 : 128,070 = 128,070 : x
  2. Step 2: Convert to fraction form
    59,242.50/128,070 = 128,070/x
  3. Step 3: Cross multiply
    59,242.50x = 128,070 × 128,070
  4. Step 4: Simplify right side
    59,242.50x = 16,401,924,900
  5. Step 5: Solve for x
    x = 16,401,924,900/59,242.50
  6. Step 6: Final answer
    x = 276,860.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.