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Finding the Third Proportional to 93,539 and 142,643.50

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Solution

The third proportional to 93,539 and 142,643.50 is: 217,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,539 : 142,643.50 = 142,643.50 : x
  2. Step 2: Convert to fraction form
    93,539/142,643.50 = 142,643.50/x
  3. Step 3: Cross multiply
    93,539x = 142,643.50 × 142,643.50
  4. Step 4: Simplify right side
    93,539x = 20,347,168,092.25
  5. Step 5: Solve for x
    x = 20,347,168,092.25/93,539
  6. Step 6: Final answer
    x = 217,526.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.