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Finding the Third Proportional to 93,312 and 118,152

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Solution

The third proportional to 93,312 and 118,152 is: 149,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,312 : 118,152 = 118,152 : x
  2. Step 2: Convert to fraction form
    93,312/118,152 = 118,152/x
  3. Step 3: Cross multiply
    93,312x = 118,152 × 118,152
  4. Step 4: Simplify right side
    93,312x = 13,959,895,104
  5. Step 5: Solve for x
    x = 13,959,895,104/93,312
  6. Step 6: Final answer
    x = 149,604.50

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.