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Finding the Third Proportional to 60,295 and 130,969

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Solution

The third proportional to 60,295 and 130,969 is: 284,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,295 : 130,969 = 130,969 : x
  2. Step 2: Convert to fraction form
    60,295/130,969 = 130,969/x
  3. Step 3: Cross multiply
    60,295x = 130,969 × 130,969
  4. Step 4: Simplify right side
    60,295x = 17,152,878,961
  5. Step 5: Solve for x
    x = 17,152,878,961/60,295
  6. Step 6: Final answer
    x = 284,482.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.