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Finding the Third Proportional to 124,335 and 268,535.25

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Solution

The third proportional to 124,335 and 268,535.25 is: 579,974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,335 : 268,535.25 = 268,535.25 : x
  2. Step 2: Convert to fraction form
    124,335/268,535.25 = 268,535.25/x
  3. Step 3: Cross multiply
    124,335x = 268,535.25 × 268,535.25
  4. Step 4: Simplify right side
    124,335x = 72,111,180,492.56
  5. Step 5: Solve for x
    x = 72,111,180,492.56/124,335
  6. Step 6: Final answer
    x = 579,974.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.