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Finding the Third Proportional to 52,112 and 106,064.50

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Solution

The third proportional to 52,112 and 106,064.50 is: 215,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,112 : 106,064.50 = 106,064.50 : x
  2. Step 2: Convert to fraction form
    52,112/106,064.50 = 106,064.50/x
  3. Step 3: Cross multiply
    52,112x = 106,064.50 × 106,064.50
  4. Step 4: Simplify right side
    52,112x = 11,249,678,160.25
  5. Step 5: Solve for x
    x = 11,249,678,160.25/52,112
  6. Step 6: Final answer
    x = 215,875.00

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.