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Finding the Third Proportional to 60,045 and 130,659

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Solution

The third proportional to 60,045 and 130,659 is: 284,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,045 : 130,659 = 130,659 : x
  2. Step 2: Convert to fraction form
    60,045/130,659 = 130,659/x
  3. Step 3: Cross multiply
    60,045x = 130,659 × 130,659
  4. Step 4: Simplify right side
    60,045x = 17,071,774,281
  5. Step 5: Solve for x
    x = 17,071,774,281/60,045
  6. Step 6: Final answer
    x = 284,316.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.