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Finding the Third Proportional to 65,594 and 153,995

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Solution

The third proportional to 65,594 and 153,995 is: 361,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,594 : 153,995 = 153,995 : x
  2. Step 2: Convert to fraction form
    65,594/153,995 = 153,995/x
  3. Step 3: Cross multiply
    65,594x = 153,995 × 153,995
  4. Step 4: Simplify right side
    65,594x = 23,714,460,025
  5. Step 5: Solve for x
    x = 23,714,460,025/65,594
  6. Step 6: Final answer
    x = 361,533.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.