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Finding the Third Proportional to 114,820 and 174,660

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Solution

The third proportional to 114,820 and 174,660 is: 265,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,820 : 174,660 = 174,660 : x
  2. Step 2: Convert to fraction form
    114,820/174,660 = 174,660/x
  3. Step 3: Cross multiply
    114,820x = 174,660 × 174,660
  4. Step 4: Simplify right side
    114,820x = 30,506,115,600
  5. Step 5: Solve for x
    x = 30,506,115,600/114,820
  6. Step 6: Final answer
    x = 265,686.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.