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Finding the Third Proportional to 93,598.50 and 127,012.50

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Solution

The third proportional to 93,598.50 and 127,012.50 is: 172,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,598.50 : 127,012.50 = 127,012.50 : x
  2. Step 2: Convert to fraction form
    93,598.50/127,012.50 = 127,012.50/x
  3. Step 3: Cross multiply
    93,598.50x = 127,012.50 × 127,012.50
  4. Step 4: Simplify right side
    93,598.50x = 16,132,175,156.25
  5. Step 5: Solve for x
    x = 16,132,175,156.25/93,598.50
  6. Step 6: Final answer
    x = 172,355.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.