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Finding the Third Proportional to 61,501.38 and 130,315.50

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Solution

The third proportional to 61,501.38 and 130,315.50 is: 276,126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,501.38 : 130,315.50 = 130,315.50 : x
  2. Step 2: Convert to fraction form
    61,501.38/130,315.50 = 130,315.50/x
  3. Step 3: Cross multiply
    61,501.38x = 130,315.50 × 130,315.50
  4. Step 4: Simplify right side
    61,501.38x = 16,982,129,540.25
  5. Step 5: Solve for x
    x = 16,982,129,540.25/61,501.38
  6. Step 6: Final answer
    x = 276,126.01

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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.