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Finding the Third Proportional to 62,752 and 130,688

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Solution

The third proportional to 62,752 and 130,688 is: 272,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,752 : 130,688 = 130,688 : x
  2. Step 2: Convert to fraction form
    62,752/130,688 = 130,688/x
  3. Step 3: Cross multiply
    62,752x = 130,688 × 130,688
  4. Step 4: Simplify right side
    62,752x = 17,079,353,344
  5. Step 5: Solve for x
    x = 17,079,353,344/62,752
  6. Step 6: Final answer
    x = 272,172.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.