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Finding the Third Proportional to 60,460 and 130,652

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Solution

The third proportional to 60,460 and 130,652 is: 282,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,460 : 130,652 = 130,652 : x
  2. Step 2: Convert to fraction form
    60,460/130,652 = 130,652/x
  3. Step 3: Cross multiply
    60,460x = 130,652 × 130,652
  4. Step 4: Simplify right side
    60,460x = 17,069,945,104
  5. Step 5: Solve for x
    x = 17,069,945,104/60,460
  6. Step 6: Final answer
    x = 282,334.52

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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.