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Finding the Third Proportional to 124,746 and 191,732

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Solution

The third proportional to 124,746 and 191,732 is: 294,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,746 : 191,732 = 191,732 : x
  2. Step 2: Convert to fraction form
    124,746/191,732 = 191,732/x
  3. Step 3: Cross multiply
    124,746x = 191,732 × 191,732
  4. Step 4: Simplify right side
    124,746x = 36,761,159,824
  5. Step 5: Solve for x
    x = 36,761,159,824/124,746
  6. Step 6: Final answer
    x = 294,688.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.