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Finding the Third Proportional to 46,191 and 74,386.50

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Solution

The third proportional to 46,191 and 74,386.50 is: 119,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,191 : 74,386.50 = 74,386.50 : x
  2. Step 2: Convert to fraction form
    46,191/74,386.50 = 74,386.50/x
  3. Step 3: Cross multiply
    46,191x = 74,386.50 × 74,386.50
  4. Step 4: Simplify right side
    46,191x = 5,533,351,382.25
  5. Step 5: Solve for x
    x = 5,533,351,382.25/46,191
  6. Step 6: Final answer
    x = 119,792.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.