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Finding the Third Proportional to 60,730 and 130,530

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Solution

The third proportional to 60,730 and 130,530 is: 280,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,730 : 130,530 = 130,530 : x
  2. Step 2: Convert to fraction form
    60,730/130,530 = 130,530/x
  3. Step 3: Cross multiply
    60,730x = 130,530 × 130,530
  4. Step 4: Simplify right side
    60,730x = 17,038,080,900
  5. Step 5: Solve for x
    x = 17,038,080,900/60,730
  6. Step 6: Final answer
    x = 280,554.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.