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Finding the Third Proportional to 34,106 and 74,402

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Solution

The third proportional to 34,106 and 74,402 is: 162,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106 : 74,402 = 74,402 : x
  2. Step 2: Convert to fraction form
    34,106/74,402 = 74,402/x
  3. Step 3: Cross multiply
    34,106x = 74,402 × 74,402
  4. Step 4: Simplify right side
    34,106x = 5,535,657,604
  5. Step 5: Solve for x
    x = 5,535,657,604/34,106
  6. Step 6: Final answer
    x = 162,307.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.