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Finding the Third Proportional to 105,312 and 167,404.50

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Solution

The third proportional to 105,312 and 167,404.50 is: 266,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312 : 167,404.50 = 167,404.50 : x
  2. Step 2: Convert to fraction form
    105,312/167,404.50 = 167,404.50/x
  3. Step 3: Cross multiply
    105,312x = 167,404.50 × 167,404.50
  4. Step 4: Simplify right side
    105,312x = 28,024,266,620.25
  5. Step 5: Solve for x
    x = 28,024,266,620.25/105,312
  6. Step 6: Final answer
    x = 266,107.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.