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Finding the Third Proportional to 56,985 and 88,465.50

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Solution

The third proportional to 56,985 and 88,465.50 is: 137,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,985 : 88,465.50 = 88,465.50 : x
  2. Step 2: Convert to fraction form
    56,985/88,465.50 = 88,465.50/x
  3. Step 3: Cross multiply
    56,985x = 88,465.50 × 88,465.50
  4. Step 4: Simplify right side
    56,985x = 7,826,144,690.25
  5. Step 5: Solve for x
    x = 7,826,144,690.25/56,985
  6. Step 6: Final answer
    x = 137,336.93

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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.