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Finding the Third Proportional to 60,186 and 130,416

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Solution

The third proportional to 60,186 and 130,416 is: 282,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,186 : 130,416 = 130,416 : x
  2. Step 2: Convert to fraction form
    60,186/130,416 = 130,416/x
  3. Step 3: Cross multiply
    60,186x = 130,416 × 130,416
  4. Step 4: Simplify right side
    60,186x = 17,008,333,056
  5. Step 5: Solve for x
    x = 17,008,333,056/60,186
  6. Step 6: Final answer
    x = 282,596.17

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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.