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Finding the Third Proportional to 56,773 and 85,945.50

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Solution

The third proportional to 56,773 and 85,945.50 is: 130,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,773 : 85,945.50 = 85,945.50 : x
  2. Step 2: Convert to fraction form
    56,773/85,945.50 = 85,945.50/x
  3. Step 3: Cross multiply
    56,773x = 85,945.50 × 85,945.50
  4. Step 4: Simplify right side
    56,773x = 7,386,628,970.25
  5. Step 5: Solve for x
    x = 7,386,628,970.25/56,773
  6. Step 6: Final answer
    x = 130,108.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.