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Finding the Third Proportional to 68,528 and 147,264

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Solution

The third proportional to 68,528 and 147,264 is: 316,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528 : 147,264 = 147,264 : x
  2. Step 2: Convert to fraction form
    68,528/147,264 = 147,264/x
  3. Step 3: Cross multiply
    68,528x = 147,264 × 147,264
  4. Step 4: Simplify right side
    68,528x = 21,686,685,696
  5. Step 5: Solve for x
    x = 21,686,685,696/68,528
  6. Step 6: Final answer
    x = 316,464.59

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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.