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Finding the Third Proportional to 60,468 and 130,786

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Solution

The third proportional to 60,468 and 130,786 is: 282,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,468 : 130,786 = 130,786 : x
  2. Step 2: Convert to fraction form
    60,468/130,786 = 130,786/x
  3. Step 3: Cross multiply
    60,468x = 130,786 × 130,786
  4. Step 4: Simplify right side
    60,468x = 17,104,977,796
  5. Step 5: Solve for x
    x = 17,104,977,796/60,468
  6. Step 6: Final answer
    x = 282,876.53

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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.