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Finding the Third Proportional to 76,620 and 112,014

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Solution

The third proportional to 76,620 and 112,014 is: 163,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620 : 112,014 = 112,014 : x
  2. Step 2: Convert to fraction form
    76,620/112,014 = 112,014/x
  3. Step 3: Cross multiply
    76,620x = 112,014 × 112,014
  4. Step 4: Simplify right side
    76,620x = 12,547,136,196
  5. Step 5: Solve for x
    x = 12,547,136,196/76,620
  6. Step 6: Final answer
    x = 163,757.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.