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Finding the Third Proportional to 53,604 and 74,070

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Solution

The third proportional to 53,604 and 74,070 is: 102,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,604 : 74,070 = 74,070 : x
  2. Step 2: Convert to fraction form
    53,604/74,070 = 74,070/x
  3. Step 3: Cross multiply
    53,604x = 74,070 × 74,070
  4. Step 4: Simplify right side
    53,604x = 5,486,364,900
  5. Step 5: Solve for x
    x = 5,486,364,900/53,604
  6. Step 6: Final answer
    x = 102,349.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.