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Finding the Third Proportional to 72,987 and 112,702.50

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Solution

The third proportional to 72,987 and 112,702.50 is: 174,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987 : 112,702.50 = 112,702.50 : x
  2. Step 2: Convert to fraction form
    72,987/112,702.50 = 112,702.50/x
  3. Step 3: Cross multiply
    72,987x = 112,702.50 × 112,702.50
  4. Step 4: Simplify right side
    72,987x = 12,701,853,506.25
  5. Step 5: Solve for x
    x = 12,701,853,506.25/72,987
  6. Step 6: Final answer
    x = 174,028.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.