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Finding the Third Proportional to 60,043 and 130,657

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Solution

The third proportional to 60,043 and 130,657 is: 284,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,043 : 130,657 = 130,657 : x
  2. Step 2: Convert to fraction form
    60,043/130,657 = 130,657/x
  3. Step 3: Cross multiply
    60,043x = 130,657 × 130,657
  4. Step 4: Simplify right side
    60,043x = 17,071,251,649
  5. Step 5: Solve for x
    x = 17,071,251,649/60,043
  6. Step 6: Final answer
    x = 284,317.10

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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.