Finding the Third Proportional to 77,422.50 and 109,023
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Solution
The third proportional to 77,422.50 and 109,023 is: 153,521.45
Step by Step Solution
- Step 1: Write the proportion equation
77,422.50 : 109,023 = 109,023 : x - Step 2: Convert to fraction form
77,422.50/109,023 = 109,023/x - Step 3: Cross multiply
77,422.50x = 109,023 × 109,023 - Step 4: Simplify right side
77,422.50x = 11,886,014,529 - Step 5: Solve for x
x = 11,886,014,529/77,422.50 - Step 6: Final answer
x = 153,521.45
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.