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Finding the Third Proportional to 58,307 and 90,037

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Solution

The third proportional to 58,307 and 90,037 is: 139,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,307 : 90,037 = 90,037 : x
  2. Step 2: Convert to fraction form
    58,307/90,037 = 90,037/x
  3. Step 3: Cross multiply
    58,307x = 90,037 × 90,037
  4. Step 4: Simplify right side
    58,307x = 8,106,661,369
  5. Step 5: Solve for x
    x = 8,106,661,369/58,307
  6. Step 6: Final answer
    x = 139,034.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.