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Finding the Third Proportional to 46,402 and 86,660

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Solution

The third proportional to 46,402 and 86,660 is: 161,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,402 : 86,660 = 86,660 : x
  2. Step 2: Convert to fraction form
    46,402/86,660 = 86,660/x
  3. Step 3: Cross multiply
    46,402x = 86,660 × 86,660
  4. Step 4: Simplify right side
    46,402x = 7,509,955,600
  5. Step 5: Solve for x
    x = 7,509,955,600/46,402
  6. Step 6: Final answer
    x = 161,845.52

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.