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Finding the Third Proportional to 88,905 and 137,569.50

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Solution

The third proportional to 88,905 and 137,569.50 is: 212,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,905 : 137,569.50 = 137,569.50 : x
  2. Step 2: Convert to fraction form
    88,905/137,569.50 = 137,569.50/x
  3. Step 3: Cross multiply
    88,905x = 137,569.50 × 137,569.50
  4. Step 4: Simplify right side
    88,905x = 18,925,367,330.25
  5. Step 5: Solve for x
    x = 18,925,367,330.25/88,905
  6. Step 6: Final answer
    x = 212,871.80

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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.