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Finding the Third Proportional to 46,065 and 73,444.50

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Solution

The third proportional to 46,065 and 73,444.50 is: 117,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,065 : 73,444.50 = 73,444.50 : x
  2. Step 2: Convert to fraction form
    46,065/73,444.50 = 73,444.50/x
  3. Step 3: Cross multiply
    46,065x = 73,444.50 × 73,444.50
  4. Step 4: Simplify right side
    46,065x = 5,394,094,580.25
  5. Step 5: Solve for x
    x = 5,394,094,580.25/46,065
  6. Step 6: Final answer
    x = 117,097.46

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Why These Related Problems?

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