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Finding the Third Proportional to 122,610 and 164,767.50

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Solution

The third proportional to 122,610 and 164,767.50 is: 221,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,610 : 164,767.50 = 164,767.50 : x
  2. Step 2: Convert to fraction form
    122,610/164,767.50 = 164,767.50/x
  3. Step 3: Cross multiply
    122,610x = 164,767.50 × 164,767.50
  4. Step 4: Simplify right side
    122,610x = 27,148,329,056.25
  5. Step 5: Solve for x
    x = 27,148,329,056.25/122,610
  6. Step 6: Final answer
    x = 221,420.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.