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Finding the Third Proportional to 58,009.50 and 122,882.63

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Solution

The third proportional to 58,009.50 and 122,882.63 is: 260,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,009.50 : 122,882.63 = 122,882.63 : x
  2. Step 2: Convert to fraction form
    58,009.50/122,882.63 = 122,882.63/x
  3. Step 3: Cross multiply
    58,009.50x = 122,882.63 × 122,882.63
  4. Step 4: Simplify right side
    58,009.50x = 15,100,139,526.89
  5. Step 5: Solve for x
    x = 15,100,139,526.89/58,009.50
  6. Step 6: Final answer
    x = 260,304.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.