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Finding the Third Proportional to 42,130 and 65,730

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Solution

The third proportional to 42,130 and 65,730 is: 102,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,130 : 65,730 = 65,730 : x
  2. Step 2: Convert to fraction form
    42,130/65,730 = 65,730/x
  3. Step 3: Cross multiply
    42,130x = 65,730 × 65,730
  4. Step 4: Simplify right side
    42,130x = 4,320,432,900
  5. Step 5: Solve for x
    x = 4,320,432,900/42,130
  6. Step 6: Final answer
    x = 102,550.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.