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Finding the Third Proportional to 31,160 and 63,280

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Solution

The third proportional to 31,160 and 63,280 is: 128,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160 : 63,280 = 63,280 : x
  2. Step 2: Convert to fraction form
    31,160/63,280 = 63,280/x
  3. Step 3: Cross multiply
    31,160x = 63,280 × 63,280
  4. Step 4: Simplify right side
    31,160x = 4,004,358,400
  5. Step 5: Solve for x
    x = 4,004,358,400/31,160
  6. Step 6: Final answer
    x = 128,509.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.