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Finding the Third Proportional to 76,360 and 114,550

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Solution

The third proportional to 76,360 and 114,550 is: 171,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360 : 114,550 = 114,550 : x
  2. Step 2: Convert to fraction form
    76,360/114,550 = 114,550/x
  3. Step 3: Cross multiply
    76,360x = 114,550 × 114,550
  4. Step 4: Simplify right side
    76,360x = 13,121,702,500
  5. Step 5: Solve for x
    x = 13,121,702,500/76,360
  6. Step 6: Final answer
    x = 171,840.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.