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Finding the Third Proportional to 76,312 and 118,064

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Solution

The third proportional to 76,312 and 118,064 is: 182,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312 : 118,064 = 118,064 : x
  2. Step 2: Convert to fraction form
    76,312/118,064 = 118,064/x
  3. Step 3: Cross multiply
    76,312x = 118,064 × 118,064
  4. Step 4: Simplify right side
    76,312x = 13,939,108,096
  5. Step 5: Solve for x
    x = 13,939,108,096/76,312
  6. Step 6: Final answer
    x = 182,659.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.