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Finding the Third Proportional to 121,925.25 and 174,018.38

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Solution

The third proportional to 121,925.25 and 174,018.38 is: 248,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,925.25 : 174,018.38 = 174,018.38 : x
  2. Step 2: Convert to fraction form
    121,925.25/174,018.38 = 174,018.38/x
  3. Step 3: Cross multiply
    121,925.25x = 174,018.38 × 174,018.38
  4. Step 4: Simplify right side
    121,925.25x = 30,282,394,837.64
  5. Step 5: Solve for x
    x = 30,282,394,837.64/121,925.25
  6. Step 6: Final answer
    x = 248,368.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.