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Finding the Third Proportional to 99,566 and 157,734.50

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Solution

The third proportional to 99,566 and 157,734.50 is: 249,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,566 : 157,734.50 = 157,734.50 : x
  2. Step 2: Convert to fraction form
    99,566/157,734.50 = 157,734.50/x
  3. Step 3: Cross multiply
    99,566x = 157,734.50 × 157,734.50
  4. Step 4: Simplify right side
    99,566x = 24,880,172,490.25
  5. Step 5: Solve for x
    x = 24,880,172,490.25/99,566
  6. Step 6: Final answer
    x = 249,886.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.