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Finding the Third Proportional to 72,170 and 113,363

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Solution

The third proportional to 72,170 and 113,363 is: 178,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,170 : 113,363 = 113,363 : x
  2. Step 2: Convert to fraction form
    72,170/113,363 = 113,363/x
  3. Step 3: Cross multiply
    72,170x = 113,363 × 113,363
  4. Step 4: Simplify right side
    72,170x = 12,851,169,769
  5. Step 5: Solve for x
    x = 12,851,169,769/72,170
  6. Step 6: Final answer
    x = 178,068.03

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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.