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Finding the Third Proportional to 56,283 and 89,122.50

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Solution

The third proportional to 56,283 and 89,122.50 is: 141,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,283 : 89,122.50 = 89,122.50 : x
  2. Step 2: Convert to fraction form
    56,283/89,122.50 = 89,122.50/x
  3. Step 3: Cross multiply
    56,283x = 89,122.50 × 89,122.50
  4. Step 4: Simplify right side
    56,283x = 7,942,820,006.25
  5. Step 5: Solve for x
    x = 7,942,820,006.25/56,283
  6. Step 6: Final answer
    x = 141,122.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.