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Finding the Third Proportional to 93,590 and 145,461

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Solution

The third proportional to 93,590 and 145,461 is: 226,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,590 : 145,461 = 145,461 : x
  2. Step 2: Convert to fraction form
    93,590/145,461 = 145,461/x
  3. Step 3: Cross multiply
    93,590x = 145,461 × 145,461
  4. Step 4: Simplify right side
    93,590x = 21,158,902,521
  5. Step 5: Solve for x
    x = 21,158,902,521/93,590
  6. Step 6: Final answer
    x = 226,080.80

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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.