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Finding the Third Proportional to 46,605 and 74,119.50

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Solution

The third proportional to 46,605 and 74,119.50 is: 117,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,605 : 74,119.50 = 74,119.50 : x
  2. Step 2: Convert to fraction form
    46,605/74,119.50 = 74,119.50/x
  3. Step 3: Cross multiply
    46,605x = 74,119.50 × 74,119.50
  4. Step 4: Simplify right side
    46,605x = 5,493,700,280.25
  5. Step 5: Solve for x
    x = 5,493,700,280.25/46,605
  6. Step 6: Final answer
    x = 117,877.92

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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.