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Finding the Third Proportional to 76,520 and 112,260

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Solution

The third proportional to 76,520 and 112,260 is: 164,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520 : 112,260 = 112,260 : x
  2. Step 2: Convert to fraction form
    76,520/112,260 = 112,260/x
  3. Step 3: Cross multiply
    76,520x = 112,260 × 112,260
  4. Step 4: Simplify right side
    76,520x = 12,602,307,600
  5. Step 5: Solve for x
    x = 12,602,307,600/76,520
  6. Step 6: Final answer
    x = 164,692.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.