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Finding the Third Proportional to 72,252 and 113,490

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Solution

The third proportional to 72,252 and 113,490 is: 178,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,252 : 113,490 = 113,490 : x
  2. Step 2: Convert to fraction form
    72,252/113,490 = 113,490/x
  3. Step 3: Cross multiply
    72,252x = 113,490 × 113,490
  4. Step 4: Simplify right side
    72,252x = 12,879,980,100
  5. Step 5: Solve for x
    x = 12,879,980,100/72,252
  6. Step 6: Final answer
    x = 178,264.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.