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Finding the Third Proportional to 124,528 and 188,088

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Solution

The third proportional to 124,528 and 188,088 is: 284,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,528 : 188,088 = 188,088 : x
  2. Step 2: Convert to fraction form
    124,528/188,088 = 188,088/x
  3. Step 3: Cross multiply
    124,528x = 188,088 × 188,088
  4. Step 4: Simplify right side
    124,528x = 35,377,095,744
  5. Step 5: Solve for x
    x = 35,377,095,744/124,528
  6. Step 6: Final answer
    x = 284,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.