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Finding the Third Proportional to 93,490 and 145,037

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Solution

The third proportional to 93,490 and 145,037 is: 225,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,490 : 145,037 = 145,037 : x
  2. Step 2: Convert to fraction form
    93,490/145,037 = 145,037/x
  3. Step 3: Cross multiply
    93,490x = 145,037 × 145,037
  4. Step 4: Simplify right side
    93,490x = 21,035,731,369
  5. Step 5: Solve for x
    x = 21,035,731,369/93,490
  6. Step 6: Final answer
    x = 225,005.15

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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.