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Finding the Third Proportional to 93,594 and 152,813.25

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Solution

The third proportional to 93,594 and 152,813.25 is: 249,501.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,594 : 152,813.25 = 152,813.25 : x
  2. Step 2: Convert to fraction form
    93,594/152,813.25 = 152,813.25/x
  3. Step 3: Cross multiply
    93,594x = 152,813.25 × 152,813.25
  4. Step 4: Simplify right side
    93,594x = 23,351,889,375.56
  5. Step 5: Solve for x
    x = 23,351,889,375.56/93,594
  6. Step 6: Final answer
    x = 249,501.99

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.