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Finding the Third Proportional to 58,114 and 124,161.50

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Solution

The third proportional to 58,114 and 124,161.50 is: 265,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,114 : 124,161.50 = 124,161.50 : x
  2. Step 2: Convert to fraction form
    58,114/124,161.50 = 124,161.50/x
  3. Step 3: Cross multiply
    58,114x = 124,161.50 × 124,161.50
  4. Step 4: Simplify right side
    58,114x = 15,416,078,082.25
  5. Step 5: Solve for x
    x = 15,416,078,082.25/58,114
  6. Step 6: Final answer
    x = 265,273.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.