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Finding the Third Proportional to 121,038.75 and 258,549.75

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Solution

The third proportional to 121,038.75 and 258,549.75 is: 552,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,038.75 : 258,549.75 = 258,549.75 : x
  2. Step 2: Convert to fraction form
    121,038.75/258,549.75 = 258,549.75/x
  3. Step 3: Cross multiply
    121,038.75x = 258,549.75 × 258,549.75
  4. Step 4: Simplify right side
    121,038.75x = 66,847,973,225.06
  5. Step 5: Solve for x
    x = 66,847,973,225.06/121,038.75
  6. Step 6: Final answer
    x = 552,285.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.