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Finding the Third Proportional to 46,402 and 74,708

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Solution

The third proportional to 46,402 and 74,708 is: 120,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,402 : 74,708 = 74,708 : x
  2. Step 2: Convert to fraction form
    46,402/74,708 = 74,708/x
  3. Step 3: Cross multiply
    46,402x = 74,708 × 74,708
  4. Step 4: Simplify right side
    46,402x = 5,581,285,264
  5. Step 5: Solve for x
    x = 5,581,285,264/46,402
  6. Step 6: Final answer
    x = 120,281.14

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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.