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Finding the Third Proportional to 83,430 and 124,203.38

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Solution

The third proportional to 83,430 and 124,203.38 is: 184,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430 : 124,203.38 = 124,203.38 : x
  2. Step 2: Convert to fraction form
    83,430/124,203.38 = 124,203.38/x
  3. Step 3: Cross multiply
    83,430x = 124,203.38 × 124,203.38
  4. Step 4: Simplify right side
    83,430x = 15,426,478,361.39
  5. Step 5: Solve for x
    x = 15,426,478,361.39/83,430
  6. Step 6: Final answer
    x = 184,903.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.