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Finding the Third Proportional to 124,929.19 and 191,906.63

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Solution

The third proportional to 124,929.19 and 191,906.63 is: 294,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,929.19 : 191,906.63 = 191,906.63 : x
  2. Step 2: Convert to fraction form
    124,929.19/191,906.63 = 191,906.63/x
  3. Step 3: Cross multiply
    124,929.19x = 191,906.63 × 191,906.63
  4. Step 4: Simplify right side
    124,929.19x = 36,828,152,718.89
  5. Step 5: Solve for x
    x = 36,828,152,718.89/124,929.19
  6. Step 6: Final answer
    x = 294,792.22

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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.