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Finding the Third Proportional to 60,636 and 130,924

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Solution

The third proportional to 60,636 and 130,924 is: 282,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,636 : 130,924 = 130,924 : x
  2. Step 2: Convert to fraction form
    60,636/130,924 = 130,924/x
  3. Step 3: Cross multiply
    60,636x = 130,924 × 130,924
  4. Step 4: Simplify right side
    60,636x = 17,141,093,776
  5. Step 5: Solve for x
    x = 17,141,093,776/60,636
  6. Step 6: Final answer
    x = 282,688.40

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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.