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Finding the Third Proportional to 76,003 and 164,985.50

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Solution

The third proportional to 76,003 and 164,985.50 is: 358,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,003 : 164,985.50 = 164,985.50 : x
  2. Step 2: Convert to fraction form
    76,003/164,985.50 = 164,985.50/x
  3. Step 3: Cross multiply
    76,003x = 164,985.50 × 164,985.50
  4. Step 4: Simplify right side
    76,003x = 27,220,215,210.25
  5. Step 5: Solve for x
    x = 27,220,215,210.25/76,003
  6. Step 6: Final answer
    x = 358,146.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.