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Finding the Third Proportional to 103,437 and 147,642.75

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Solution

The third proportional to 103,437 and 147,642.75 is: 210,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,437 : 147,642.75 = 147,642.75 : x
  2. Step 2: Convert to fraction form
    103,437/147,642.75 = 147,642.75/x
  3. Step 3: Cross multiply
    103,437x = 147,642.75 × 147,642.75
  4. Step 4: Simplify right side
    103,437x = 21,798,381,627.56
  5. Step 5: Solve for x
    x = 21,798,381,627.56/103,437
  6. Step 6: Final answer
    x = 210,740.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.