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Finding the Third Proportional to 52,929.50 and 82,045.50

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Solution

The third proportional to 52,929.50 and 82,045.50 is: 127,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,929.50 : 82,045.50 = 82,045.50 : x
  2. Step 2: Convert to fraction form
    52,929.50/82,045.50 = 82,045.50/x
  3. Step 3: Cross multiply
    52,929.50x = 82,045.50 × 82,045.50
  4. Step 4: Simplify right side
    52,929.50x = 6,731,464,070.25
  5. Step 5: Solve for x
    x = 6,731,464,070.25/52,929.50
  6. Step 6: Final answer
    x = 127,177.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.