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Finding the Third Proportional to 60,138 and 130,113

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Solution

The third proportional to 60,138 and 130,113 is: 281,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,138 : 130,113 = 130,113 : x
  2. Step 2: Convert to fraction form
    60,138/130,113 = 130,113/x
  3. Step 3: Cross multiply
    60,138x = 130,113 × 130,113
  4. Step 4: Simplify right side
    60,138x = 16,929,392,769
  5. Step 5: Solve for x
    x = 16,929,392,769/60,138
  6. Step 6: Final answer
    x = 281,509.08

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Why These Related Problems?

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