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Finding the Third Proportional to 89,070 and 118,972.50

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Solution

The third proportional to 89,070 and 118,972.50 is: 158,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,070 : 118,972.50 = 118,972.50 : x
  2. Step 2: Convert to fraction form
    89,070/118,972.50 = 118,972.50/x
  3. Step 3: Cross multiply
    89,070x = 118,972.50 × 118,972.50
  4. Step 4: Simplify right side
    89,070x = 14,154,455,756.25
  5. Step 5: Solve for x
    x = 14,154,455,756.25/89,070
  6. Step 6: Final answer
    x = 158,913.84

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.