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Finding the Third Proportional to 124,229 and 193,724

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Solution

The third proportional to 124,229 and 193,724 is: 302,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,229 : 193,724 = 193,724 : x
  2. Step 2: Convert to fraction form
    124,229/193,724 = 193,724/x
  3. Step 3: Cross multiply
    124,229x = 193,724 × 193,724
  4. Step 4: Simplify right side
    124,229x = 37,528,988,176
  5. Step 5: Solve for x
    x = 37,528,988,176/124,229
  6. Step 6: Final answer
    x = 302,095.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.