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Finding the Third Proportional to 60,014 and 130,207

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Solution

The third proportional to 60,014 and 130,207 is: 282,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,014 : 130,207 = 130,207 : x
  2. Step 2: Convert to fraction form
    60,014/130,207 = 130,207/x
  3. Step 3: Cross multiply
    60,014x = 130,207 × 130,207
  4. Step 4: Simplify right side
    60,014x = 16,953,862,849
  5. Step 5: Solve for x
    x = 16,953,862,849/60,014
  6. Step 6: Final answer
    x = 282,498.46

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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.