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Finding the Third Proportional to 34,090 and 74,560

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Solution

The third proportional to 34,090 and 74,560 is: 163,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090 : 74,560 = 74,560 : x
  2. Step 2: Convert to fraction form
    34,090/74,560 = 74,560/x
  3. Step 3: Cross multiply
    34,090x = 74,560 × 74,560
  4. Step 4: Simplify right side
    34,090x = 5,559,193,600
  5. Step 5: Solve for x
    x = 5,559,193,600/34,090
  6. Step 6: Final answer
    x = 163,074.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.