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Finding the Third Proportional to 114,114 and 170,541

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Solution

The third proportional to 114,114 and 170,541 is: 254,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,114 : 170,541 = 170,541 : x
  2. Step 2: Convert to fraction form
    114,114/170,541 = 170,541/x
  3. Step 3: Cross multiply
    114,114x = 170,541 × 170,541
  4. Step 4: Simplify right side
    114,114x = 29,084,232,681
  5. Step 5: Solve for x
    x = 29,084,232,681/114,114
  6. Step 6: Final answer
    x = 254,869.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.