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Finding the Third Proportional to 65,358 and 92,036.25

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Solution

The third proportional to 65,358 and 92,036.25 is: 129,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358 : 92,036.25 = 92,036.25 : x
  2. Step 2: Convert to fraction form
    65,358/92,036.25 = 92,036.25/x
  3. Step 3: Cross multiply
    65,358x = 92,036.25 × 92,036.25
  4. Step 4: Simplify right side
    65,358x = 8,470,671,314.06
  5. Step 5: Solve for x
    x = 8,470,671,314.06/65,358
  6. Step 6: Final answer
    x = 129,604.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.