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Finding the Third Proportional to 103,313 and 151,430

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Solution

The third proportional to 103,313 and 151,430 is: 221,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,313 : 151,430 = 151,430 : x
  2. Step 2: Convert to fraction form
    103,313/151,430 = 151,430/x
  3. Step 3: Cross multiply
    103,313x = 151,430 × 151,430
  4. Step 4: Simplify right side
    103,313x = 22,931,044,900
  5. Step 5: Solve for x
    x = 22,931,044,900/103,313
  6. Step 6: Final answer
    x = 221,957.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.