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Finding the Third Proportional to 65,946 and 97,470

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Solution

The third proportional to 65,946 and 97,470 is: 144,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,946 : 97,470 = 97,470 : x
  2. Step 2: Convert to fraction form
    65,946/97,470 = 97,470/x
  3. Step 3: Cross multiply
    65,946x = 97,470 × 97,470
  4. Step 4: Simplify right side
    65,946x = 9,500,400,900
  5. Step 5: Solve for x
    x = 9,500,400,900/65,946
  6. Step 6: Final answer
    x = 144,063.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.