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Finding the Third Proportional to 64,080 and 139,792

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Solution

The third proportional to 64,080 and 139,792 is: 304,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,080 : 139,792 = 139,792 : x
  2. Step 2: Convert to fraction form
    64,080/139,792 = 139,792/x
  3. Step 3: Cross multiply
    64,080x = 139,792 × 139,792
  4. Step 4: Simplify right side
    64,080x = 19,541,803,264
  5. Step 5: Solve for x
    x = 19,541,803,264/64,080
  6. Step 6: Final answer
    x = 304,959.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.