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Finding the Third Proportional to 116,967 and 170,712

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Solution

The third proportional to 116,967 and 170,712 is: 249,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,967 : 170,712 = 170,712 : x
  2. Step 2: Convert to fraction form
    116,967/170,712 = 170,712/x
  3. Step 3: Cross multiply
    116,967x = 170,712 × 170,712
  4. Step 4: Simplify right side
    116,967x = 29,142,586,944
  5. Step 5: Solve for x
    x = 29,142,586,944/116,967
  6. Step 6: Final answer
    x = 249,152.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.