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Finding the Third Proportional to 60,290 and 130,955

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Solution

The third proportional to 60,290 and 130,955 is: 284,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,290 : 130,955 = 130,955 : x
  2. Step 2: Convert to fraction form
    60,290/130,955 = 130,955/x
  3. Step 3: Cross multiply
    60,290x = 130,955 × 130,955
  4. Step 4: Simplify right side
    60,290x = 17,149,212,025
  5. Step 5: Solve for x
    x = 17,149,212,025/60,290
  6. Step 6: Final answer
    x = 284,445.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.