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Finding the Third Proportional to 74,528 and 157,664

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Solution

The third proportional to 74,528 and 157,664 is: 333,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,528 : 157,664 = 157,664 : x
  2. Step 2: Convert to fraction form
    74,528/157,664 = 157,664/x
  3. Step 3: Cross multiply
    74,528x = 157,664 × 157,664
  4. Step 4: Simplify right side
    74,528x = 24,857,936,896
  5. Step 5: Solve for x
    x = 24,857,936,896/74,528
  6. Step 6: Final answer
    x = 333,538.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.