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Finding the Third Proportional to 65,702 and 105,387.50

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Solution

The third proportional to 65,702 and 105,387.50 is: 169,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,702 : 105,387.50 = 105,387.50 : x
  2. Step 2: Convert to fraction form
    65,702/105,387.50 = 105,387.50/x
  3. Step 3: Cross multiply
    65,702x = 105,387.50 × 105,387.50
  4. Step 4: Simplify right side
    65,702x = 11,106,525,156.25
  5. Step 5: Solve for x
    x = 11,106,525,156.25/65,702
  6. Step 6: Final answer
    x = 169,043.94

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.