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Finding the Third Proportional to 60,345 and 130,032

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Solution

The third proportional to 60,345 and 130,032 is: 280,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,345 : 130,032 = 130,032 : x
  2. Step 2: Convert to fraction form
    60,345/130,032 = 130,032/x
  3. Step 3: Cross multiply
    60,345x = 130,032 × 130,032
  4. Step 4: Simplify right side
    60,345x = 16,908,321,024
  5. Step 5: Solve for x
    x = 16,908,321,024/60,345
  6. Step 6: Final answer
    x = 280,194.23

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Why These Related Problems?

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