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Finding the Third Proportional to 93,436 and 145,076

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Solution

The third proportional to 93,436 and 145,076 is: 225,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,436 : 145,076 = 145,076 : x
  2. Step 2: Convert to fraction form
    93,436/145,076 = 145,076/x
  3. Step 3: Cross multiply
    93,436x = 145,076 × 145,076
  4. Step 4: Simplify right side
    93,436x = 21,047,045,776
  5. Step 5: Solve for x
    x = 21,047,045,776/93,436
  6. Step 6: Final answer
    x = 225,256.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.