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Finding the Third Proportional to 52,030.88 and 122,784.94

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Solution

The third proportional to 52,030.88 and 122,784.94 is: 289,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.88 : 122,784.94 = 122,784.94 : x
  2. Step 2: Convert to fraction form
    52,030.88/122,784.94 = 122,784.94/x
  3. Step 3: Cross multiply
    52,030.88x = 122,784.94 × 122,784.94
  4. Step 4: Simplify right side
    52,030.88x = 15,076,140,876.88
  5. Step 5: Solve for x
    x = 15,076,140,876.88/52,030.88
  6. Step 6: Final answer
    x = 289,753.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.