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Finding the Third Proportional to 93,025.50 and 148,514.50

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Solution

The third proportional to 93,025.50 and 148,514.50 is: 237,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,025.50 : 148,514.50 = 148,514.50 : x
  2. Step 2: Convert to fraction form
    93,025.50/148,514.50 = 148,514.50/x
  3. Step 3: Cross multiply
    93,025.50x = 148,514.50 × 148,514.50
  4. Step 4: Simplify right side
    93,025.50x = 22,056,556,710.25
  5. Step 5: Solve for x
    x = 22,056,556,710.25/93,025.50
  6. Step 6: Final answer
    x = 237,102.26

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.